Defect Energy with Conjugate Boundary Conditions in Spin Glass Models in Two Dimensions
Fumitaka Matsubara, Takayuki Shirakura, Michinori Siomi
Abstract
We calculate the naive defect energy ΔE of Ising spin glass(SG) models in two dimensions using conjugate boundary conditions. We predict that, in the J model, the averaged value ΔE converges to some non-zero value in the thermodynamic limit in contrast with ΔE = 0 in the Gaussian model. This prediction is incompatible with previous ones but supports a recent Monte Carlo prediction of the presence of the SG phase at finite temperatures in the J Ising model. We also calculate the interface free energy to confirm it.
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